Correspondences and singular varieties

被引：0
|
作者：
Laterveer, Robert [1 ]
机构：
[1] Univ Strasbourg, CNRS, IRMA, 7 Rue Rene Descartes, F-67084 Strasbourg, France
来源：
MONATSHEFTE FUR MATHEMATIK | 2016年 / 180卷 / 03期
关键词：
Algebraic cycles; Chow groups; Pure motives; Singular varieties; Hodge conjecture;
D O I：
10.1007/s00605-015-0772-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
What is generally known as the "Bloch-Srinivas method" consists of decomposing the diagonal of a smooth projective variety, and then considering the action of correspondences in cohomology. In this note, we observe that this same method can also be extended to singular and quasi-projective varieties. We give two applications of this observation: the first is a version of Mumford's theorem, the second is concerned with the Hodge conjecture for singular varieties.
引用
收藏
页码：563 / 577
页数：15
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